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Which of the following can be four interior angles of a quadrilateral?
(a) 140°, 40°, 20°, 160°
(b) 270°, 150°, 30°, 20°
(c) 40°, 70°, 90°, 60°
(d) 110°, 40°, 30°, 180°

Solution:

We have to find the four interior angles of a quadrilateral from the given options.

We know that the sum of the angles of a quadrilateral is equal to 360 degrees.

(i) 140°, 40°, 20°, 160°

Sum of angles = 140° + 40° + 20° + 160°

= 200° + 160°

= 360°

Therefore, option a can be four interior angles of a quadrilateral.

(ii) 270°, 150°, 30°, 20°

Sum of angles = 270° + 150° + 30° + 20°

= 270° + 200°

= 470°

Therefore, option b cannot be four interior angles of a quadrilateral.

(iii) 40°, 70°, 90°, 60°

Sum of angles = 40° + 70° + 90° + 60°

= 110° + 150°

= 260°

Therefore, option c cannot be four interior angles of a quadrilateral.

(iv) 110°, 40°, 30°, 180°

Sum of angles = 110° + 40° + 30° + 180°

= 180° + 200°

= 380°

Therefore, option d cannot be four interior angles of a quadrilateral.

✦ Try This: Which of the following can be four interior angles of a quadrilateral? (a) 110°, 50°, 30°, 170° (b) 270°, 150°, 30°, 20° (c) 40°, 70°, 90°, 60° (d) 110°, 40°, 30°, 180°

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 38

Which of the following can be four interior angles of a quadrilateral? (a) 140°, 40°, 20°, 160° (b) 270°, 150°, 30°, 20° (c) 40°, 70°, 90°, 60° (d) 110°, 40°, 30°, 180°

Summary:

140°, 40°, 20°, 160° can be four interior angles of a quadrilateral.

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